منابع مشابه
A Nodal Jacobian Inverse Solver for Reduced Complexity Eit Reconstructions
Electrical impedance tomography (EIT) uses surface electrodes to make measurements from which an image of the conductivity distribution within some medium is calculated. Calculation of conductivity solutions requires inverting large linear systems that have to date restricted reconstructions to 2D or coarse 3D domains. This paper presents a Nodal Jacobian Inverse Solver that scales with the num...
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0.1. Motivation and Goal. The problem of finding a natural relative compactification of the relative Jacobian over a family of curves has drawn a lot of attention since Igusa’s pioneering work [18] in the fifties. (In Subsect. 0.2 the reader will find a slightly more detailed account of this history, with references.) In the case where the curves in the family are geometrically integral, a very...
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Model based image reconstruction in Diffuse Optical Tomography relies on both the numerical accuracy of the forward model as well as the computational speed and efficiency of the inverse model. Most model based image reconstruction algorithms rely on Newton type inversion methods, whereby the inverse of a large Jacobian is approximated. In this work we present an efficient Jacobian reduction me...
متن کاملJacobian Computation-free Newton’s Method for Systems of Nonlinear Equations
We propose a modification to Newton’s method for solving nonlinear equations, namely a Jacobian Computation-free Newton’s Method . Unlike the classical Newton’s method, the proposed modification neither requires to compute and store the Jacobian matrix, nor to solve a system of linear equations in each iteration. This is made possible by approximating the Jacobian inverse to a diagonal matrix w...
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2018
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-018-1448-5